i'm having trouble with a problem in my calc class...it isn't really calculus yet since we're still in the review section but it goes somethign like this: ( don't have it in front of me)

a rational function is defined by: R/(x-K) where R and K are constants. find R and K for a function that passes through these two points: (2,5) and i can't remember the other one...but if someone can describe how to do a similar problem or how to go about it that'd be great

y= R/(x-k)

PUt in the x,y values. Do it for the next point also. You end up with two equations, two unknowns (R and K). You can solve it.

To find the values of R and K for the given rational function, you need to use the information about the two points it passes through. Here's a step-by-step explanation of how to approach this problem:

1. Start with the general form of the rational function: y = R/(x - K).

2. Plug in the coordinates of the first point (2, 5) into the equation. This gives you the equation 5 = R/(2 - K).

3. Plug in the coordinates of the second point into the equation. Once you recall the second point, do the same as step 2.

4. Now you have two equations with two unknowns (R and K). You can solve this system of equations to find the values of R and K.

- One way to solve these equations is by substitution. Solve one equation for one variable and substitute it into the other equation.
- Another method is to solve by elimination. Multiply both sides of one equation by appropriate values to make the coefficients of one variable the same in both equations. Then, subtract or add the equations to eliminate one variable.

5. After solving the system of equations, you will obtain the values of R and K, which are the constants required for the rational function to pass through the given points.

Remember to substitute the coordinates of the second point into the equation during the process to fully determine the values of R and K accurately.

If you can provide the coordinates of the second point, I can help you solve the system of equations and find the values of R and K specifically for your problem.